Complex/imaginary numbers

Maths and statistics discussion, revision, exam and homework help.

This thread is sponsored by:
Announcements Posted on
Important: please read these guidelines before posting about exams on The Student Room 28-04-2013
Sign in to Reply
  1. cillit bang's Avatar
    • New Member
    • Posts: 22
    Complex/imaginary numbers
    For the attached question, once I see the answer it looks quite simple. But how do I know whether to use sin or cos and which number to put on top? (I'm in a bit of a hurry to go through all of the understanding properly I'm afraid) Thanks for any help! Pos rep given
    Attached Thumbnails
    Click image for larger version. 

Name:	maths 4.png 
Views:	20 
Size:	9.3 KB 
ID:	167510   Click image for larger version. 

Name:	maths 5.png 
Views:	45 
Size:	21.2 KB 
ID:	167511  
  2. didgeridoo12uk's Avatar
    • TSR Idol
    • Location: Cambridge/MK
    • Posts: 9,425
    Re: Complex/imaginary numbers
    whether you use cos or sine depends on which "sides of the triangle" you're using. you could use either in all questions or even tan if you feel like it
    Last edited by didgeridoo12uk; 09-08-2012 at 00:11.
  3. Manitude's Avatar
    • TSR Idol
    • Location: The Grim North West
    • Posts: 8,408
    Re: Complex/imaginary numbers
    It's just simple trig - SOH CAH TOA.
  4. Quexx's Avatar
    • Respected Member
    • Location: Raxacoricofallapatorius
    • Posts: 179
    Re: Complex/imaginary numbers
    I use tan instead... if you do the argument as: tanx = img/real, it gives the same answer and you don't have to worry about cos or sin.

    For example the first one is:
    tanx = 2/3
    x = tan(-1)2/3
    x = 0.588 radians
  5. cillit bang's Avatar
    • New Member
    • Posts: 22
    Re: Complex/imaginary numbers
    Thanks for your replies. Yeah, the only thing is the question doesn't mention which sides of the triangle these values are....so was just wondering how I know which one to use
  6. Brit_Miller's Avatar
    • Benevolent Member
    • Location: Bristol
    • Posts: 694
    Re: Complex/imaginary numbers
    (Original post by cillit bang)
    Thanks for your replies. Yeah, the only thing is the question doesn't mention which sides of the triangle these values are....so was just wondering how I know which one to use
    Horizontal axis is real, vertical axis is imaginary.
Sign in to Reply
Share this discussion:  
Article updates
Moderators

We have a brilliant team of more than 60 volunteers looking after discussions on The Student Room, helping to make it a fun, safe and useful place to hang out.

Reputation gems:
The Reputation gems seen here indicate how well reputed the user is, red gem indicate negative reputation and green indicates a good rep.
Post rating score:
These scores show if a post has been positively or negatively rated by our members.